[Answer] Draw a pair of tangents to a circle of radius 6cm which are inclined to each other at an angle of 60° . Also find the length of the tangent.

The Question : Draw a pair of tangents to a circle of radius 6cm which are inclined to each other at an angle of 60°. Also find the length of the tangent.

Solution for the question :
Solution:Draw a circle of radius 6cmDraw OA and Construct ∠AOB  = 120°Draw ∠OAP  = ∠OBP  = 90°PA and PB are required tangentsJoin OP and apply tan∠APO = tan 30° =6/PA⇒ Length of tangent = 6√3 cm

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